Fold 2 - Understanding why coefficient -51408119 was selected
Tag: NEW HINGE
Selected Coefficient: -51408119
Taxonomy Path: -1.0.45.1.2
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 7
The algorithm tries each unique residual value as a candidate coefficient and selects the one with the lowest total p-adic loss. The selected row is highlighted.
| Candidate Value | Total P-adic Loss | Taxonomy Path | P-adic Expansion | Taxonomy Name | Selected? |
|---|---|---|---|---|---|
| -51408119 | 5.014085 | -1.0.45.1.2 | -2.1.45.0.1 (-(2*71^4 + 357911 + 45*71^2 + 1)) | Yes | |
| -1360999 | 5.014085 | -0.70.56.3 | -3.56.70.0 (-(3*71^3 + 56*71^2 + 70*71)) | No | |
| 0 | 5.014085 | 0 | 0 (0) | No | |
| 1224749 | 5.014085 | 70.67.29.3 | 3.29.67.70 (3*71^3 + 29*71^2 + 67*71 + 70) | No | |
| -78387694 | 6.000000 | -2.2.1.6.3 | -3.6.1.2.2 (-(3*71^4 + 6*71^3 + 5041 + 2*71 + 2)) | No | |
| -77092300 | 6.000000 | -3.4.28.2.3 | -3.2.28.4.3 (-(3*71^4 + 2*71^3 + 28*71^2 + 4*71 + 3)) | No | |
| -84245480 | 6.000000 | -4.4.27.22.3 | -3.22.27.4.4 (-(3*71^4 + 22*71^3 + 27*71^2 + 4*71 + 4)) | No |
These are the training products that have the "NEW HINGE" tag (processing sequence 1746). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.
| Product ID | Title | Residual Before | Taxonomy Before | Tags Already Processed | Residual After | Taxonomy After | Tags Not Yet Processed |
|---|---|---|---|---|---|---|---|
| 9212 | Saint Germain | 1224749 | BLACK, ROUND, PINK, 8MM, DARK TURTLE | 52632868 | OPTICAL, OVAL FACE | ||
| 9207 | Jaurès | 0 | BLACK, OVERSIZED, DARK TURTLE | 51408119 | NEW STYLES, OPTICAL, OVAL FACE, ROUND FACE, SQUARE | ||
| 9193 | Rue Amélie | -1360999 | GOLD, 8MM, GLASSES | 50047120 | NEW STYLES, OPTICAL, ROUND FACE | ||
| 9206 | Ségur | -51408119 | GOLD, DARK TURTLE, GLASSES, LARGE | 0 | NEW STYLES, OPTICAL, SQUARE | ||
| 9189 | Theatre | -77092300 | GOLD, BLACK, ROUND, 8MM, DARK TURTLE, GLASSES, MEDIUM | -25684181 | NEW STYLES, OPTICAL, OVAL FACE, PETITE | ||
| 9208 | Rue de Charonne | -78387694 | GOLD, PINK, 8MM, DARK TURTLE, GLASSES, MEDIUM | -26979575 | OPTICAL, OVAL FACE, PETITE | ||
| 9191 | Rue Berthe | -84245480 | GOLD, PINK, 8MM, CAT-EYE, GLASSES, MEDIUM | -32837361 | NEW STYLES, OPTICAL, OVAL FACE, PETITE |